Question

Write an equation in whatever form you choose with the given characteristics Parallel to y = 3/5x - 8 and passes through (0, -3)​

Answer 1

Answer (this one's written in slope-intercept form):

`y= (3)/(5)x -3`

Explanation:

1) Lines that are parallel to each other have the same slope. The line
`y=(3)/(5) x-8` is in slope intercept form, or
`y = mx + b` form, and the number in place of
`m` represents the slope. Knowing this, it looks like
`(3)/(5)` is in the place of the
`m` in that equation, so
`(3)/(5)` is the slope - and the slope we need to use for the answer, too.

2) Once you know a point that the line must pass through and a slope, you can write an equation with point-slope form, or
`y-y_1 = m (x - x_1)`.
`m` is the slope and
`x_1` and
`y_1` are the x and y values of the point it must pass through. So, substitute
`(3)/(5)` for
`m`, 0 for
`x_1`, and -3 for
`y_1`. Simplify and isolate y to put it in slope-intercept form:

`y-(-3) = (3)/(5) (x - 0) \\y + 3 = (3)/(5) x - 0 \\y = (3)/(5) x - 3`

3) Thus,
`y = (3)/(5) x - 3\\` is the answer. It's written in slope-intercept form.